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Finding the Fourth Proportional to 1,353.14, 2,030.86 and 531.98

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Solution

The fourth proportional to 1,353.14, 2,030.86 and 531.98 is: 798.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.14 : 2,030.86 = 531.98 : x
  2. Step 2: Convert to fraction form
    1,353.14/2,030.86 = 531.98/x
  3. Step 3: Cross multiply
    1,353.14x = 2,030.86 × 531.98
  4. Step 4: Simplify right side
    1,353.14x = 1,080,379.32
  5. Step 5: Solve for x
    x = 1,080,379.32/1,353.14
  6. Step 6: Final answer
    x = 798.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.